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Finding the Third Proportional to 152.44 and 316.69

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Solution

The third proportional to 152.44 and 316.69 is: 657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.44 : 316.69 = 316.69 : x
  2. Step 2: Convert to fraction form
    152.44/316.69 = 316.69/x
  3. Step 3: Cross multiply
    152.44x = 316.69 × 316.69
  4. Step 4: Simplify right side
    152.44x = 100,290.97
  5. Step 5: Solve for x
    x = 100,290.97/152.44
  6. Step 6: Final answer
    x = 657.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.